827552270601 has 27 divisors (see below), whose sum is σ = 1390545099021. Its totient is φ = 472876095384.

The previous prime is 827552270551. The next prime is 827552270621. The reversal of 827552270601 is 106072255728.

The square root of 827552270601 is 909699.

It is a perfect power (a square), and thus also a powerful number.

827552270601 is a `hidden beast` number, since 8 + 27 + 552 + 2 + 70 + 6 + 0 + 1 = 666.

It is not a de Polignac number, because 827552270601 - 2³¹ = 825404786953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827552270621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19082020 + ... + 19125338.

Almost surely, 2^827552270601 is an apocalyptic number.

827552270601 is the 909699-th square number.

827552270601 is the 454850-th centered octagonal number.

It is an amenable number.

827552270601 is a deficient number, since it is larger than the sum of its proper divisors (562992828420).

827552270601 is an frugal number, since it uses more digits than its factorization.

827552270601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86658 (or 43329 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 827552270601 in words is "eight hundred twenty-seven billion, five hundred fifty-two million, two hundred seventy thousand, six hundred one".